Our TRB

TRB

OVERVIEW

Teachers Recruitment Board is designated as the Nodal Agency for conducting of Teacher Eligibility Test and recruitment of Teachers as per G.O for School Education Department. The National Council for Teacher Education (NCTE) has laid down the minimum qualifications for a person to be eligible for appointment as a teacher in school classes. It had been inter alia provided that one of the essential qualifications for a person to be eligible for appointment as a teacher in any of the schools is that he/she should pass the Teacher Eligibility Test (TET) which will be conducted by the appropriate Government in accordance with the Guidelines framed by the NCTE.


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TRB GENERAL KNOWLEDGE SYLLABUS

Unit I:

Milestones in Indian History

Unit II:

Major events in World History

Unit III:

Important events in History of Tamil Nadu

Unit IV:

Geography - Elementary aspects of Geography of the World, India & Tamil Nadu

Unit V:

Salient features of Indian Constitution

Unit VI:

Salient features of Indian Economy

Unit VII:

Personalities - Books & Authors, discoveries, men & women of stature

Unit VIII:

Sports & Games

Unit IX:

Everyday Science

Unit X:

Current Affairs

TRB MATHEMATICS SYLLABUS

Unit I: Algebra

Summation of Series - Binomial, exponential and logarithmic Series – Theory of Numbers - Prime numbers, Composite numbers, decomposition of composite numbers as a product of prime numbers uniquely. atrices:- Symmetric, Skew Symmetric, Hermition , skew harmition, orthogonal and unitary matrices – Eigen values and eigen vectors of a square matrix, rank of a matrix, consistency of linear equations and solutions. Cayley Hameltan theorem. Theory of Equations: Polynomial equations – Formation of equations – Irrational roots.

Unit II: Analytical Geometry and Trigonometry

Analytical Geometry: Parabola, Ellipse, Hyperbola and rectangular hyperbola – Pole, polar, conjugate points, conjugate lines and conjugate diameters. Polar coordinates – distance between two points – general equation of a straight-line – Parallel lines and perpendicular lines. Trigonometry: Complex numbers – deMoiures Theorem – Expansions of Sinq, Cosq, tanq in terms of q Expansions of Sin nq, Cos nq, tan nqExpansions of sin n q, cos n q

Unit III: Calculus

Rolles Theorem – Mean value theorem – Maxima and Minima of functions of one and two variables. n-th derivative – Leibnitz theorem and applications – total differential. Jacobians of two and three variables – Properties of Jacobians. Curvature – radius of curvature, centre of curvature in Cartesian coordinates. volutes and envelopes. Reduction formulae for integration.

Unit IV: Differential Equations

Ordinary differential equations,- Exact differential Equations - first order and first-degree equations of Bernoulli, first order but not of first-degree equation. Second order equations with constant co-efficients, P.I for eaxV where V is xm, cos mx, sin mx (m is positive integer), total differential equation Pdx+Qdy+Rdz=0. Laplace transform and its application to first and second order linear differential equations

Unit V: Vector Analysis and Analytical Solid Geometry

Vector analysis: Gradient, divergence, curl, directional derivative, unit normal to a surface, tangent and normal planes to a surface. Line, surface and volume integrals and their evaluation – Gauss, Green, Stokes theorems. Analytical solid geometry: Planes and lines. Reduction to symmetric form for a line given by a pair of planes. Sphere:- Equations of sphere in centre-radius form, diameter form and general form.

Unit VI: Modern Algebra

Groups – Sub groups – Lagrange Theorem – Normal subgroup. Rings – Definition and examples – Integral Domain. Vector spaces – Basic concepts – Linear independence – Bases.

Unit VII: Real Analysis

Set, function, real valued function, equivalence, countability, real numbers, least upper bound, open set, closed set, connected set. Sequence of real numbers – Limit of a sequence – Convergent, divergent and bounded sequences. Series – convergence and divergence – uniform and absolute convergence.

Unit VIII: Complex Analysis

Functions of a complex variable, mappings, limits, theorems on limits, derivatives – Cauchy – Riemann equations Formula for derivatives of analytical functions, convergence of sequence and series – Singularities – Residue theorem – Contour integration.

Unit IX: Statics

Types of forces: Forces acting on a particle, triangle of forces, polygon of forces, Lamis theorem, conditions of equilibrium of a particle, under several coplanar forces, parallel forces. Coplanar forces acting on a body. Friction, equilibrium of a body on a rough inclined plane acted by external forces.

Unit X: Dynamics

Kinematics of a particle: Velocity, acceleration, relative velocity, relative acceleration, angular velocity, acceleration components in a coplanar motion, along a) two fixed perpendicular directions. b) tangential and normal directions. Newton’s Laws of motion: work, power energy, principle of work and energy Plane motion: Projectiles, ranges, motion on an inclined plane, circular motion.

TRB GEOGRAPHY SYLLABUS

Unit I: Geomorphology

Earth: Distribution of land and water; continental drift and plate tectonic theories; Earth’s interior; Earth movements: Orogenic and epirogenic; Earthquake and volcanism; Folds and faults; Types of rocks: igneous, sedimentary and metamorphic – Rock cycle; Soil Profile; Weathering and Mass wasting; Agents of erosion: running water, wind, glacier and wave; Karst and coastal topography.

Unit II: Climatology

Climate and weather; composition and structure of the atmosphere; Insulation: Horizontal and vertical distribution of temperature; Atmospheric pressure and winds: Vertical and Horizontal, Pressure and wind belts; Indian Monsoon and local winds; Atmospheric Moisture: Forms of condensations, types of precipitation; Atmospheric disturbances: Temperate and tropical cyclones.

Unit III: Oceanography

Distribution of ocean and seas; Bottom relief of ocean floor; Relief feature of Pacific, Atlantic and Indian ocean; Distribution of temperature and salinity; Currents of oceans; Deposits of oceans; Distribution of coral reefs.

Unit IV: Human Geography

World Population; Growth since 1960, distribution and density; Regional variations; Problems of over population; Migration: causes and consequences, Push and full factors for international migration. Settlements: Classification and hierarchy; Urban and sub urban settlements; Metropolitan cities of India; Growth and associated problems:

Unit V: Economic Geography

Basic concepts in Agricultural practices; Types of Agriculture; Shifting, subsistence and commercial, mixed and gardening; Scientific and technological developments in agricultural sector. Fisheries : Locational factors and fishing regions; Minerals and power resources; Metallic and non metallic; distribution and production; Conventional and non-conventional powers; Conservation of mineral resources.

Unit VI: Regional Geography of the World with Special Reference to India

Distribution of Major land forms: Mountain, plateau, and plain; Major climatic regions; Natural vegetative regions; Forests and wild life sanctuaries; India: Location and extent; Physiographic regions: Relief, geology and drainage climate vegetation and soil; Rivers and multipurpose projects; Agricultural, mineral and industrial regions; Human resources: Population growth, distribution and density Trade and transport: Growth and Development.

Unit VII: Cartography

Types of maps and scales; Data collection and classification; Mapping techniques: Choropleth and Isopleth; Diagrammatic representation: Line, Bar and pie graphs; Measures of central tendencies: Mean, Median and Model centers.

Unit VIII: Remote Sensing and Geographical Information Systems

Remote sensing: Components of remote sensing; Physics of remote sensing: Electro Magnetic Spectrum and spectral resolutions; Remote Sensing systems: Passive and Active; Indian Remote Sensing: Growth and Development; Indian Resource Satellites and products; Geographic Information Systems: Hardware and Software Components of GIS; Collection of spatial data; Data structure: Vector and Raster; Types of GIS software Global Positioning Systems: Types and applications.

Unit IX: Environmental Geography

Human and Environment: Natural and Cultural, Eco systems: Functions and components, Earth and its components; Bio-geo-Chemical Cycles: Nitrogen, Carbon, Oxygen, and Water Cycle. Environmental degradation: Land, water and Air pollutions, Global warming, Acid rain, Ozone depletion and Eutrophication; Legislation of environmental protection in India.

Unit X: Disaster Management

Hazard and Disasters: Definition and Types of disasters; Natural: Earthquake, Volcano, landslide, Floods and Droughts, Tsunami (Indian Examples); Manmade: Chemical, Nuclear explosions, fire accidents, War and terrorism. Gas leaks (Indian Examples) Disaster Management: Relief, Rehabilitation. Mitigation and Preparedness.

TRB History Syllabus

Main Currents in Indian History from Early times to A.D.1984

Unit I:

Background and Sources – Indus Culture – Vedic Age – Buddhism and Jainism – Mauryans – Administration – Kushanas – Guptas – Cultural Renaissance - Harshavardhana – Chalukyas – Rajput Age.

Unit II:

Sultanate of Delhi – Vijayanagar Empire – Bhakthi Movement – Mughals - Golden Age of the Mughals – Marathas and Sikhs – Coming of the Europeans (Portugese, Dutch, French and English) – The Carnatic Wars.

Unit III:

Expansion of Company’s Rule till 1857 – India under the Crown – Socio-Religious Reform Movements in India in the 19th century – Western Education – National Movement – Pre-Gandhian Era and Gandhian Era – Constitutional Developments – Act of 1909, Act of 1919, Government of India Act of 1935 and Indian Independence Act of 1947 – Salient features of Republican Constitution (1950) – Integration of Indian States.

Unit IV:

Nehru Era - Social, Economic, Cultural and Political Development of India between 1950 and 1984 – Women’s Movement - Uplift of women – Social Legislations – Phule, B.R. Ambedkar, E.V.Ramasamy, Muthulakshmi – Abolition of Untouchability Act – Hindu Successesion Act, Protection of Civil Rights Act.

Unit V:

Foreign Policy of India till A.D.1984 – Relations with Pakistan – Kashmir Issue – Sino- Indian Relations – Indo-US Relations – Indo-Soviet Relations. An Outline History of Tamil Nadu up to A.D. 1987

Unit VI:

Sangam Age – Pallavas – Art and Architecture – Bhakthi Movement – Imperial Cholas – Local Self- Government – Art and Architecture – Imperial Pandyas (II Pandyan Dynasty) – Tamil Nadu under Vijayanagar Rule – Nayaks of Madurai – Services of Christian Missionaries – Rise of Poligars – Pulithevan – Kattabomman and Marudu Brothers – Vellore Mutiny of 1806.

Unit VII:

Foundation of British Rule in Madras Presidency – Role of Tamil Nadu in the Freedom Struggle.

Unit VIII:

Social Reform Movements in Tamil Nadu – Justice Party – Congress Rule – DMK in Power – Emergence of AIADMK – Midday Meals Scheme in Tamil Nadu. History of Europe from A.D. 1453 to 1990

Unit IX:

Renaissance – Geographical Discoveries – Industrial and Agrarian Revolutions in England – Reformation and Counter Reformation – Benevolent Despots – Louis-XIV of France, Peter, the Great of Russia, Frederick, the Great of Prussia and Joseph II of Austria – French Revolution – Napoleon Bonaparte – Congress of Vienna – Methernich – Unification of Italy and Germany – Eastern Question.

Unit X:

I World War – Russian Revolution – The League of Nations – Rise of Dictatorship (Nazism and Fascism) – II World War – U.N.O – Cold War – Disintegration of Soviet Union – Reunification of Germany.